There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
Answer:
Step-by-step explanation:
<u><em>System A and System B are </em></u><u><em>not equivalent</em></u> !!!
Some definitions:
Sum - the result of adding values together
Term - a single number or variable (includes variables multiplied by numbers)
Factor - a number or variable that divides another number or expression evenly
Quotient - the result of dividing values by one another
Coefficient - a numerical or constant value often in front of a variable
In your equation:
Sum - (5x + 1)
5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.
Term - (5x, 1, 3y)
All terms given above are applicable.
Factor - (9)
9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression
Quotient - (9(5x + 1) / 3y)
The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.
Coefficient - (5, 3)
Both 5 and 3 are numbers in front of variables.
Hope this helps!! :)
It would be 70r if you are using distributive property
